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40233242112 = 293715124781
BaseRepresentation
bin100101011110000101…
…101000111000000000
310211211220221110112020
4211132011220320000
51124344202221422
630252150001440
72623005625650
oct453605507000
9124756843466
1040233242112
1116076686318
12796a046280
133a424a844b
141d39564360
1510a720a95c
hex95e168e00

40233242112 has 160 divisors (see below), whose sum is σ = 123312059904. Its totient is φ = 11418624000.

The previous prime is 40233242087. The next prime is 40233242113. The reversal of 40233242112 is 21124233204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40233242113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1611162 + ... + 1635942.

Almost surely, 240233242112 is an apocalyptic number.

40233242112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40233242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61656029952).

40233242112 is an abundant number, since it is smaller than the sum of its proper divisors (83078817792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40233242112 is a wasteful number, since it uses less digits than its factorization.

40233242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24960 (or 24944 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40233242112 its reverse (21124233204), we get a palindrome (61357475316).

It can be divided in two parts, 402332 and 42112, that added together give a palindrome (444444).

The spelling of 40233242112 in words is "forty billion, two hundred thirty-three million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 151 168 192 224 256 302 336 384 448 453 512 604 672 768 896 906 1057 1208 1344 1536 1792 1812 2114 2416 2688 3171 3584 3624 4228 4832 5376 6342 7248 8456 9664 10752 12684 14496 16912 19328 24781 25368 28992 33824 38656 49562 50736 57984 67648 74343 77312 99124 101472 115968 135296 148686 173467 198248 202944 231936 270592 297372 346934 396496 405888 520401 541184 594744 693868 792992 811776 1040802 1189488 1387736 1585984 1623552 2081604 2378976 2775472 3171968 3741931 4163208 4757952 5550944 6343936 7483862 8326416 9515904 11101888 11225793 12687872 14967724 16652832 19031808 22203776 22451586 26193517 29935448 33305664 38063616 44407552 44903172 52387034 59870896 66611328 78580551 88815104 89806344 104774068 119741792 133222656 157161102 179612688 209548136 239483584 266445312 314322204 359225376 419096272 478967168 628644408 718450752 838192544 957934336 1257288816 1436901504 1676385088 1915868672 2514577632 2873803008 3352770176 5029155264 5747606016 6705540352 10058310528 13411080704 20116621056 40233242112